Are there corners in a circle

What properties do they have? A vertex is a point where two or more lines meet. The plural of vertex is vertices. There are degrees in a third of a full turn. To determine this, you need to start with a full turn which is degrees. If a full turn is Both have 4 90 degree right angles. A triangle has 3 sides and 3 angles. The angles of a triangle always add up to degrees. A circle look several different ways, but as long as it has 0 sides and 0 corners, we know it is a circle.

To the human eye, circles and spheres are abundant in nature and in our universe. They can occur naturally — in planets, stars, celestial bodies, tree rings, rain drops — or they can be man-made — such as traffic roundabouts, buttons, volleyballs, pizza.

Therefore, in order for a function to be differentiable, it needs to be continuous, and it also needs to be free of vertical slopes and corners. Barring those problems, a function will be differentiable everywhere in its domain. Viewing a circle as an infinite number of angles is unusual but justifiable. A circle may be viewed in any of several ways. Ancient Greek mathematicians viewed a circle as a polygon with an infinite number of sides.

This is very close to the idea of a circle as an infinite number of angles. A sphere has no faces, a cone has one circular face, and a cylinder has two circular faces. Therefore, the number of faces increases by one from one figure to the next. A sphere has no sides at all. It has an infinite number of infinitesimally small surface areas, if you will. A sphere has an inner and an outer surface. Skip to content How many corners circle have? Do circles have angles? Start with a triangle, then find a square.

Eventually you will come to Pi. A semi-circle is a degree half circle. A semi-circle does not have any corners. A circle does not have corners either. There are points of beginning and end in a semi-circle. In a circle the point of beginning is the same as the ending point. A circle has 0 corners. The number of square corners in a circle is infinite because it has no definite angle. A circle normally has no corners. A circle has only one side and it is called its circumference.

A circle has no corners and a square has four corners. There is no object that has no corners and four corners. No faces, 1 edge, no corners. A circular disk has 1 face, but that is not the same as a circle. Zero in the normal course of events. You could say you can approximate a circle by an infinite-sided polygon, and then you would have infinite sides and corners. Or you could say a circle has an inside and an outside.

A sphere has no corners, it is a 3-D circle. All of them apart from a circle. A hemisphere does not have edges or corners. It has only one face. A hemisphere is one half of a circle. In a circle, it is argued that there are either no corners, or infinitely many, depending upon the depth of the mathematics involved. Log in. Math and Arithmetic. Thanks for your answer, by the way. Your ability to answer such questions is not necessarily related to any objective measure of intelligence: it correlates with being familiar with certain examples of such questions and more generally with being raised in a culture where such questions exist.

When mathematicians react negatively to the use of such questions, they are in part reacting to this arbitrariness at least I am. Being able to answer such questions indicates that you are good at anticipating what kind of answers the makers of the test want, nothing more and nothing less.

However, I must agree with Qiaochu Yuan that in the particular case of a teacher asking such a question it seems more appropriate to begin a discussion about the lack of mathematical skill and understanding displayed by teachers and how that hinders mathematical advancement.

And next time you are in New York, please let me know. Owen Sizemore Owen Sizemore 5, 16 16 silver badges 22 22 bronze badges. Add a comment. A straight line could be any number of sides with straight angles between them. Tanner 1. Douglas S. Stones Douglas S. Stones Define "line"? Stones If taking limits in this way were legitimate then we can show that e. Can you please explain the logical flaw then? Why we can't take limit here? Those people are assuming that 'side' means 'straight edge', whereas my belief is that side means 'smooth edge' at least in this context.

My daughter 8 had the same question in her schoolwork today, and she put 0, but I told her it should be 1 and yes, I am a mathematician. Mister Theory Mister Theory 91 1 1 silver badge 2 2 bronze badges. That a figure can be approximated to arbitrary precision by polygons with sufficiently high number of sides is not a good definition of having an infinite number of sides.

See the answers by Douglas Stones and robjohn. Sam Sam 91 1 1 bronze badge. ThorbenK ThorbenK 1, 7 7 silver badges 14 14 bronze badges. I think you can proof this by using a homeomorphism from the triangle to the circle. Let us now constrain the union area to be constant. In the case of squares, it would be the same shape too. In case of rectangles, the shape would vary. Hatebit Hatebit 6 6 bronze badges. Upcoming Events. Featured on Meta.

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